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Finding the Third Proportional to 296.75 and 705.50

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Solution

The third proportional to 296.75 and 705.50 is: 1,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 705.50 = 705.50 : x
  2. Step 2: Convert to fraction form
    296.75/705.50 = 705.50/x
  3. Step 3: Cross multiply
    296.75x = 705.50 × 705.50
  4. Step 4: Simplify right side
    296.75x = 497,730.25
  5. Step 5: Solve for x
    x = 497,730.25/296.75
  6. Step 6: Final answer
    x = 1,677.27

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.